Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 539213, 10 pages
http://dx.doi.org/10.1155/2012/539213
Research Article

Generalized Variational Oscillation Principles for Second-Order Differential Equations with Mixed-Nonlinearities

Jing Shao,1,2 Fanwei Meng,1 and Xinqin Pang2

1School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
2Department of Mathematics, Jining University, Shandong, Qufu 273155, China

Received 14 March 2012; Accepted 4 June 2012

Academic Editor: Mingshu Peng

Copyright © 2012 Jing Shao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Using generalized variational principle and Riccati technique, new oscillation criteria are established for forced second-order differential equation with mixed nonlinearities, which improve and generalize some recent papers in the literature.